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Simplify frac 4 sqrt 18 sqrt 8 - WAEC Mathematics 2003 Question

Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
A
2
B
3
C
6
D
12
correct option: c
\(\frac{4\sqrt{18}}{\sqrt{8}}\
= \frac{4\sqrt{9\times 2}}{\sqrt{4 \times 2}} = \frac{12\sqrt{2}}{2\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}\
Rationalising \frac{6\sqrt{2}}{\sqrt{2}}\
=\frac{6\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 6\)
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